MORE PROPERTIES OF EQUALITYIF THE OPERATION DONE TO ONE SIDE IS ALSO DONE TO THE OTHER THEN
THE VALUE OF THE EQUATION DOES NOT CHANGE
Addition: If a=b, then a + c = b + c
Subtraction: If a=b, then a – c = b – c
Multiplication: If a=b, then a ∙ c = b ∙ c
Division: If a = b, then a / c = b / c (c≠0)
If x = 12, then x + 3 = 12
+ 3 If x = 12,
then x – 3 = 12 – 3
If x = 12, then x ∙ 3 = 12 ∙
3 If x = 12,
then x / 3 = 12 / 3
SOLVE THE EQUATION
Solving an equation that contains a variable means finding all the possible values that make the equation true. The first step is to isolate the variable to one side of the equation by using inverse operations.
Inverse operations undo operations. Addition, subtraction are inverse operations
as are multiplication, and division .
Solve . Check your solution.
Add 5.48 to each side.
Check: Original equation
Answer: The solution is 5.5.
Substitute 5.5 for s.
What is the solution of 12b=18?
12b / 12 = 18 / 12 Divide each side by 12
b = 3 / 2 Simplify
Distributive and Substitution Properties
Commutative, Distributive, and Substitution Properties